4044116961953 has 16 divisors (see below), whose sum is σ = 4083800112000. Its totient is φ = 4004504474880.

The previous prime is 4044116961931. The next prime is 4044116961979. The reversal of 4044116961953 is 3591696114404.

It is a happy number.

4044116961953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4044116961953 - 2¹⁴ = 4044116945569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4044116961895 and 4044116961904.

It is not an unprimeable number, because it can be changed into a prime (4044116961653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780865718 + ... + 780870896.

It is an arithmetic number, because the mean of its divisors is an integer number (255237507000).

Almost surely, 2^{4044116961953} is an apocalyptic number.

It is an amenable number.

4044116961953 is a deficient number, since it is larger than the sum of its proper divisors (39683150047).

4044116961953 is a wasteful number, since it uses less digits than its factorization.

4044116961953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10552.

The product of its (nonzero) digits is 2799360, while the sum is 53.

The spelling of 4044116961953 in words is "four trillion, forty-four billion, one hundred sixteen million, nine hundred sixty-one thousand, nine hundred fifty-three".